Evaluate log base 6 of 20

$\log_{6} (20)$

The change of base rule can be used if $a$ and $b$ are greater than $0$ and not equal to $1$ , and $x$ is greater than $0$ .

$\log_{a} (x) = \frac{\log_{b} (x)}{\log_{b} (a)}$

Substitute in values for the variables in the change of base formula, using $b = 10$ .

$\frac{\log (20)}{\log (6)}$

The result can be shown in multiple forms.

Exact Form:

$\frac{\log (20)}{\log (6)}$

Decimal Form:

$1.67195001 \dots$

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